In this paper, we analyze the weak gravitational lensing in the context of Einstein-nonlinear-Maxwell–Yukawa black hole. To this desire, we derive the deflection angle of light by Einstein-nonlinear-Maxwell–Yukawa black hole using the Gibbons and Werner method. For this purpose, we obtain the Gaussian curvature and apply the Gauss–Bonnet theorem to find the deflection angle of Einstein-nonlinear-Maxwell–Yukawa black hole in weak field limits. Moreover, we derive the deflection angle of light in the influence of plasma medium. We also analyze the graphical behavior of deflection angle by Einstein-nonlinear-Maxwell–Yukawa black hole in the presence of plasma as well as non-plasma medium.

中文翻译：

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爱因斯坦-非线性-麦克斯韦-汤川黑洞的弱引力透镜

在本文中，我们分析了爱因斯坦-非线性-麦克斯韦-汤川黑洞背景下的弱引力透镜。为了这个愿望，我们使用 Gibbons 和 Werner 方法推导出爱因斯坦-非线性-麦克斯韦-汤川黑洞的光偏转角。为此，我们获得了高斯曲率，并应用高斯-博内定理来求爱因斯坦-非线性-麦克斯韦-汤川黑洞在弱场极限下的偏转角。此外，我们推导出光在等离子体介质影响下的偏转角。我们还分析了 Einstein-nonlinear-Maxwell-Yukawa 黑洞在等离子体和非等离子体介质存在下偏转角的图形行为。